Card Roulette
Roulette wey dem deal from deck of cards, for places where di law no allow di ball. Di cards dey keep di odds; di extras wey dey round dem no dey keep am.
California no allow dice or ball to settle bet, so im casinos dey deal roulette from cards. Deck of 38 cards wey stand for di 38 pockets dey copy di American wheel and im 5.26% exactly. Di house dey gain from wetin di cards add: suit symbols, pockets wey get colour and poker hands, wey dem price from 6% to 36%.
Why some casinos dey deal roulette with cards
California law no allow dice or ballequipmentBallDi small ball wey dem dey throw for di track against di rotor. Modern balls na ivorine or Teflon, 18–21 mm.Read di whole tin → as di device wey go decide bet, and di tribal casinos of di state must follow am too. Deck wey dem shuffle no be any of di two, so designers dey build roulette again round cards and keep di odds. Di 2004 tribal compact of Oklahoma allow card games but e no allow roulette or craps, and di same card versions spread go dia until one 2018 law allow di ball and dice come back. Di page on roulette for California cover di $1 antemoniAnteOne fixed amount wey you pay to take part for one round, before anytin happen. E don go, whatever happen.Read di whole tin → wey come with dat change.
Deck for di place of di wheel
Di plainest versions dey put 38 cards where di 38 pocketsequipmentPocketOne of di 37 small boxes wey get number for di rotor. Dem also dey call am: slot, cup.Read di whole tin → dey before: 36 numbers and two wey dey play di zeroswheelZeroDi one green pocket wey no even-money, dozen or column bet dey cover; na im be di source of di house edge. Dem also dey call am: single zero, 0.Read di whole tin →. If every card get equal chance and di payoutsmoniPayoutWetin bet wey win dey return, wey dem dey quote as “X to 1” on top di stake wey dem return.Read di whole tin → na di ones of di wheel, di price na di price of di wheel too.
Richer Roulette: bonus of 30%
Valley View Casino for Valley Center, California, replace di ball with pointer and three rings wey dey turn on dia own and lock togeda as dem dey slow down. Di middle ring get 38 tiles wey face down, one for each number, and dem print playing card for each one too to satisfy di law; di card no get any part for di game. Di ring for inside carry six suit symbols, two hearts and four spades. Di main bets na American roulettetype of rouletteAmerican rouletteWheel wey get 0 and 00, 38 pockets, house edge 5.26%. E no be di main model wey dis site dey use.Read di whole tin →. Di Richer Bonus bet dey win only if your number come out and suit symbol line up with am: 100 to 1 for spade, 300 to 1 for heart. Dat one dey happen 3 times in 722, and di bet dey lose 30.33% of every stake, almost six times di main game.
Pala Roulette: di Super Green bet
Pala Casino for California keep ball but e remove di numbers from di wheel. Instead, im pockets get colours: 12 redbetRedEven-money bet on di 18 red numbers. For French: rouge.Read di whole tin →, 12 white, 12 blue and 2 green. Dem dey deal four cards from deck of 38 cards, wey dem number and colour like American wheel, face down, one for each pocket colour, and di colour where di ball stop dey tell which card to turn over. Di main bets keep American odds. Di Super Green bet need di ball for green pocket and dat card to be 0 or 00, chance of (2/38)² = 1 in 361. E dey pay 275 to 1 and e cost 23.55%. To cost di same 5.26% as di main game, e for need to pay 341 to 1.
San Diego County: eight casinos, four ways round di ban
One survey for 2008 cover all di eleven casinos round San Diego; eight dey deal roulette, and each one don find im own way round di law. Barona deal di only single-zero game for di area. Three cards from deck of 37 cards go face down for di regions 1–12, 13–24 and 25–36, and di card for di region where di ball stop settle every bet: 2.70%, half of wetin di oda casinos dey charge. Pala use im wheel wey get colours, wey we describe for up. Pauma and Sycuan just deal one card from deck of 38 cards. Harrah’s Rincon, Pechanga, Valley View and Viejas set 38 cards round wheel wey stand up like big six and turn up di one wey di pointer stop for; before, Harrah’s don draw from hopper of 76 bingo balls, two of each number.
Triple Flop: poker for di side
Triple Flop Roulette, wey dem introduce for di Orchid Casino for Aruba for 2018, dey deal from 38 cards: six reach ace for each suit, plus two jokers wey dey play di part of 0 and 00 (version wey get 37 cards get one joker). Di first card dey settle di roulette bets, wey keep di normal payouts and di 5.26% edge. Two more cards dey complete three-card poker hand for set of side betsbetSide betExtra bet wey you fit choose wey dem join to di main game, usually on streak, bonus event or jackpot. E dey almost always cost pass di standard bets.Read di whole tin →, with di jokers as wild. Every poker bet cost pass di roulette.
How to fix bet of 36%
Di Royal Jackpot show how much one line of pay tablemoniPay tableDi list of wetin each bet or each result dey pay. For machines and side bets, na there dem dey set di house edge.Read di whole tin → fit carry. Out of di 8,436 hands, 40 na royals, and 36 of dem use joker, so di payout with joker dey set di price far pass di 1,000-to-1 headline. Bollman work through di oda options.
Ca$h Card: deck of 55
Ca$h Card, wey Nicholas Kallabat design when e be 18 and wey dem launch for 2019 for California card rooms, dey use full deck, two jokers and one Ca$h Card: 55 cards for 13-by-4 layoutequipmentLayoutDi betting grid wey dem print for di table. Dem also dey call am: table, felt, cloth.Read di whole tin →, one row for each rank and one columnbetColumnTwelve numbers for one column of di layout wey stand from up to down, e dey pay 2:1.Read di whole tin → for each suit, with di jokers and di Ca$h Card for top where di zeros for dey. Dem dey deal three cards every round. Di second one dey settle di main bets, and all three dey make hand for $5 poker bonus. Bets on pass one card dey pay (52 − n)/n to 1, so di three extra cards give dem edge of 3/55, 5.45%, between di European and di American wheel. One card dey pay 50 to 1 instead of di 51 of di rule, and dis one raise am to 7.27%. Dem pitch am to oda states as better for players and for di house, and both na true: 50 to 1 beat 35 to 1, and 5.45% beat 5.26%.
Joker Seven: na only one point separate dem
Joker Seven, wey dem dey play for English cruise ships round di 1960s, dey sell di variety of roulette without wheel. Each hand na seven cards from deck of 54 cards wey dem just shuffle, wey include two jokers, and players dey bet on colours, pairs and three of a kind. No Pair and Two Pair both dey pay 3 to 1. No Pair dey come out 23.81% of di time and Two Pair 22.65%, if you count four of a kind as two pairs and two jokers as one pair. One percentage point of probabilitymathsProbabilityDi chance of one outcome, from 0 to 1 or from 0% to 100%. One number: 1/37 = 2.70%.Read di whole tin → almost double di price: 4.75% against 9.40%. Two Pair dey come for eight shapes, and one of dem, two pairs and three odd cards, na almost nine tenths of am.
Dem side by side
Di main bets of every card game for here cost wetin di wheel wey dem copy cost, or small more. Di extras na where di price dey.
Wetin carry over
Deck na wheel wey get anoda way to choose di pocket. Wetin matter na di same for both.
- Cards wey get equal chance and di payouts of di wheel dey give di edge of di wheel, reach di decimal.
- Di house dey earn from wetin di cards add: suit symbols, pockets wey get colour, poker hands.
- Payout wey short of di rule by one unitmoniUnitDi base stake wey system or player dey work with. Dem dey describe progressions in units so dat dem go fit work for any table.Read di whole tin →, like di 50 to 1 of Ca$h Card, dey work like di American five-number bet.
- Long-shot bet, na im winning line wey dey come pass dey price am: di royal with joker, no be di natural one.
Questions wey pipo dey ask
Di main bets cost wetin di wheel wey dem copy cost, or small more for Ca$h Card; deck of 37 cards, like for Barona for 2008, cost di European 2.70%. Di extra bets cost more.
California law no allow ball or dice to decide bet. Oklahoma remove im own version of di rule for 2018.
Among di ones wey we price for here, di No Pair of Joker Seven at 4.75%, then di main bets at 5.26%.
Play with Maths
Try dem by yourself first. Each solution dey folded; open am when you ready.
Ca$h Card dey deal from 55 cards: 52, two jokers and one Ca$h Card. Bets on 2 cards dey pay 25 to 1, on 4 cards 12 to 1, on 13 cards 3 to 1 and on 26 cards 1 to 1, but one card alone dey pay 50 to 1. Find di rule wey dey behind di group bets and how much each kind of bet dey cost.
Show di solution
Answer Group bets dey pay (52 − n)/n to 1 and dem dey cost 3/55 = 5.45%. Di single card, for 50 to 1, dey cost 7.27%.
Check: 50/2 = 25, 48/4 = 12, 39/13 = 3, 26/26 = 1. Di rule dey treat di deck as 52 cards, so di jokers and di Ca$h Card na three house cards out of 55: 3/55 = 5.45%.
Di rule for pay single card 51 to 1. For 50 to 1, e dey return 51 unitsmoniUnitDi base stake wey system or player dey work with. Dem dey describe progressions in units so dat dem go fit work for any table.Read di whole tin →, stake inside, once for 55 tries: 51/55 − 1 = −4/55, 7.27%.
One earlier version get three jokers and di Ca$h Card, 56 cards in all. Im group bets dey cost 4/56 = 7.14%, and bet on di three jokers go need 49/3 = 16⅓ to 1 to match dem. For 16 to 1 e go cost 8.93%, for 17 to 1 only 3.57%.
Triple Flop dey deal roulette from 38 cards, six reach ace for four suits plus two jokers, for di usual roulette odds, but im layoutequipmentLayoutDi betting grid wey dem print for di table. Dem also dey call am: table, felt, cloth.Read di whole tin → no get bet on suit. How you go bet on one suit with chipsmoniChipToken wey stand for one fixed amount, wey you put on top di layout to make bet. Dem also dey call am: check.Read di whole tin → wey di layout dey accept, and how much e go cost? Wetin suit bet go need to pay?
Show di solution
Answer Three $1 streetbetStreetThree numbers for one row of di layout, e dey pay 11:1. For French: transversale.Read di whole tin → bets, 6-7-8, 9-10-J and Q-K-A of di suit, dey win $9 or lose $3. Dat one dey cost 5.26%, and suit bet go pay 3 to 1.
One suit get nine cards, and three streets of three dey cover dem. Any of di nine wey come first, one street go win 11 to 1 and di oda two go lose: +11 − 2 = +$9. For di oda 29 cards, all three go lose: −$3.
For average, for each deal: (9 × 9 − 29 × 3)/38 = −6/38 of one dollar for $3 wey you stake. Dat na 2/38 of each dollar, 5.26%, di same as every oda bet for double-zerowheelZeroDi one green pocket wey no even-money, dozen or column bet dey cover; na im be di source of di house edge. Dem also dey call am: single zero, 0.Read di whole tin → layout.
Di rule (36 − n)/n for pay nine cards 27/9 = 3 to 1. Spinette, one card wheel from Oklahoma, get exactly dat bet. Di three streets na di same bet for three pieces: $9 wey you win for $3 na 3 to 1.
Di $5 poker bonus of Ca$h Card dey use all di three cards wey dem deal from 55: di 52, two jokers and di Ca$h Card, and no one of dem na wild. How likely straight flush be, royals inside? And why straight dey pay pass flush?
Show di solution
Answer About 1 for 547. Straight dey pay more becos e rare pass: 720 hands against 1,096.
26,235 three-card hands dey inside 55 cards. Poker hand need three normal cards, and 22,100 hands, 84% of dem, no get any special card.
Straight flush na three cards of one suit wey follow each oda. Each suit get 12 runs, from A-2-3 reach Q-K-A, so 48 dey, and four of dem na di A-K-Q royals: 48 for 26,235, about 1 for 547.
We count plain straights and flushes like for di 52-card deck for di page of poker bets for card roulette: 720 and 1,096. Di pay tablemoniPay tableDi list of wetin each bet or each result dey pay. For machines and side bets, na there dem dey set di house edge.Read di whole tin →, $25 for straight and $20 for flush, put dem for di correct order.
For di Barona casino for California, where di law tok sey na cards, no be ballequipmentBallDi small ball wey dem dey throw for di track against di rotor. Modern balls na ivorine or Teflon, 18–21 mm.Read di whole tin →, must decide di game, dem dey spin single-zero wheel and deal three cards from deck of 37 cards wey get number 0 reach 36. If di wheel show 0 to 12, di first card na di result; 13 to 24, di second; 25 to 36, di third. Dis one dey change di chance of any number?
Show di solution
Answer No. Every number still dey come out 1 time for 37.
Any card wey di wheel pick, dat card na random draw from 37, so e dey show any particular number with probabilitymathsProbabilityDi chance of one outcome, from 0 to 1 or from 0% to 100%. One number: 1/37 = 2.70%.Read di whole tin → 1/37. If you average 1/37 over di three choices of di wheel, e still go give 1/37.
Di wheel no dey decide di number; e only dey decide which card go count. Na di cards dey decide di game, wey be wetin di law want, and di odds and di 2.70% edge na di ones of normal single-zero wheel. Bollman (2024) give am as exercise.
Small laugh
Di deck dey keep di odds. Di extras dey set di price.
Sources
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Wizard of Odds. “San Diego Roulette.”